Eriksen has been linked with a number of Europe’s top clubs after impressing for both Ajax and Denmark.
Reports have suggested United could make a move to bring in a new creative playmaker in the January transfer window.
“This is a player that is on our radar,” Meulensteen told Voetbal International.
“But that is to be expected. If people weren’t looking, no-one would ever have an opinion on these players.
“It is true that a player like Eriksen would fit our transfer policy.
“He is being strongly linked with us, but to suggest that we are about to make a move is not true.”
“Christian must weigh up every step he takes in his career,” said Eriksen’s agent Martin Schoots.
“He gave a lot of thought to joining Ajax. Last summer he could have gone to England, and a German club was very keen, but he passed the opportunity up.
“He has signed a contract at Ajax and a transfer is not an issue at the moment.”
